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Finding the Fourth Proportional to 977.07, 1,453.04 and 946.31

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Solution

The fourth proportional to 977.07, 1,453.04 and 946.31 is: 1,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.07 : 1,453.04 = 946.31 : x
  2. Step 2: Convert to fraction form
    977.07/1,453.04 = 946.31/x
  3. Step 3: Cross multiply
    977.07x = 1,453.04 × 946.31
  4. Step 4: Simplify right side
    977.07x = 1,375,026.28
  5. Step 5: Solve for x
    x = 1,375,026.28/977.07
  6. Step 6: Final answer
    x = 1,407.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.